A diver jumps from a platform diving board that is 32 feet above water. The height , h of the diver above water , in feet, t seconds after jumping from the platform , can be determined by the equation h=-16t^2+20t+32. Determine the diver's height above water 2 seconds after jumping from the platform.
CAN SOMEONE HELP ME OUT PLEASE!!!!!!!!!!

Answer:

It's a total increase by 27,65%

Step-by-step explanation:

1,11 × 1,15 = 1,2765

1,2765 = +27,65%

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

Answer:

Ill tell you the bases and exponents, 2 is the base and 2 is the exponent. 3 is your base and 2 is your exponent. 5 is your base and 3 is your exponent. 10 is your base and 3 is your exponent. 4 is your base and 2 is your exponent. 5 is your base and 2 is your exponent. 6 is your base and 2 is your exponent.

Answer:

The independent variable is the number of cars

the band washes and the dependent is the number of money they earn

Step-by-step explanation:

Answer:

696 steps

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

It does not say what the tax is so the answer would be 12. You just divide 2 by 24.

Answer:

12

Step-by-step explanation:

24 divided by 2 is 12 or 2 times 12 is 24

mark me brainliest

Answer:

the choice shown is correct. A reflection across diagonal BD.

Step-by-step explanation:

Answer:

your right, its A.

Step-by-step explanation:

An 180 rotation would result it with point C being below point A, not making it congruent. A translation is also not possible. A dilation would do nothing. A relfection on the other hand, would make both sides congruent.

Answer:

volume is 17157.28 :)

Step-by-step explanation:

Answer:

A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.

Step-by-step explanation:

Answer:

Answer down below!

Step-by-step explanation:

A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.

Answer: 667556755788655000000

Step-by-step explanation: braniliest pls

Answer:

26018.979

yea...

Answer:

B and A

.......................

Answer:

M' and N'O'

Step-by-step explanation:

Answer Before defining the inverse of a function we need to have the right mental image of function.

Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.

Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.

Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.

g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.

This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.

f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.

Letting f-1 denote the inverse of f, we have just shown that g = f-1.

Definition:

Let f and g be two functions. If

f(g(x)) = x and g(f(x)) = x,

then g is the inverse of f and f is the inverse of g.

Exercise 1:

Return to Contents

Finding Inverses

Example 1. First consider a simple example f(x) = 3x + 2.

The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.

There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.

Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.

The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.

Therefore, f-1(x) = (x - 2)/3.

Steps for finding the inverse of a function f.

Replace f(x) by y in the equation describing the function.

Interchange x and y. In other words, replace every x by a y and vice versa.

Solve for y.

Replace y by f-1(x).

Example 2.  f(x) = 6 - x/2

Step 1 y = 6 - x/2.

Step 2 x = 6 - y/2.

Step 3 x = 6 - y/2.

y/2 = 6 - x.

y = 12 - 2x.

Step 4 f-1(x) = 12 - 2x.

Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.

Example 3.  f(x) = x3 + 2

This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)

Step 1 y = x3 + 2.

Step 2 x = y3 + 2.

Step 3 x - 2 = y3.

(x - 2)^(1/3) = y.

Step 4 f-1(x) = (x - 2)^(1/3).

Exercise 3:

Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer

Step-by-step explanation:

pls brain list

Answer: 30

Step-by-step explanation:

A=a+b

2h=12+3

2·4=30

Answer: 24

Step-by-step explanation:

Answer:

7.7 yards & 14.04 gallons

Step-by-step explanation:

so theres 1.1 yards per meter which can be written out as

1.1 yds/1 meter

multiply that by 7 meters would get you 7.7 yards

same with the punch:

0.26 gallons/ 1 liter times 54 liters = 14.04 gallons

Answer:

Step-by-step explanation:

Because there are two angles and they both are Complementary(90 degrees)

We can do 4x + 7x = 90

11x = 90

x= 8.18 repeating

Answer:

D. Hyperbola

Step-by-step explanation:

I put B but it was wrong

D is the right answer

The given equation is represent a ''Hyperbola''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ 9x² - 5x - 3y² - 2y + 4 = 0

Now, We know that;

The standard form of the equation is,

⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0

For Hyperbola, The condition is,

⇒ h² > ab

For Ellipse ,  The condition is,

⇒ h² < ab

Here, We have;

⇒ h = 0

⇒ a = 9

⇒ b = - 3

⇒ ab = 9 x - 3 = - 27

⇒ h = 0

Hence, We get;

⇒ 0 > - 27

⇒ h² > ab

Thus, This equation is represent a ''Hyperbola''.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:afvStep-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

Answer:

he would need 2 and 2/3 pounds of potatoes

Step-by-step explanation:

you would add 2/3 together 4 times.

2/3 + 2/3 + 2/3 + 2/3 = 2 and 2/3

so oscar would need 2 and 2/3 pounds of potatoes.

hope I could be of great assistance to you.

Answer:

The price changed by 92.5 %

Step-by-step explanation:

The regular price of lawn mover = 200 dollars

The new selling price = 85 dollars

Change in selling price = 200 -85 dollars = 115 dollars

% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]

The price changed by 92.5 %

Answer:

170 square feet

Step-by-step explanation:

Answer:

$29.4294294294

Step-by-step explanation:

Given:

The scale on a map is 1:25000.

To find:

How many km on the ground is represented by 6cm on the map?

Solution:

Let x be the km on the ground.

We know that,

1 km = 1000 m

1 m = 100 cm

So,

1 km = 100,000 cm

x km = 100,000x cm

The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.

[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]

[tex]\dfrac{100,000x}{25000}=6[/tex]

[tex]4x=6[/tex]

[tex]x=\dfrac{6}{4}[/tex]

[tex]x=1.5[/tex]

Therefore, 1.5 km on the ground is represented by 6cm on the map.

Answer:

B=40

C=55

A=40

Step-by-step explanation: